log(x)5-log(x)6+10=12

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Solution for log(x)5-log(x)6+10=12 equation:


Simplifying
log(x) * 5 + -1log(x) * 6 + 10 = 12

Reorder the terms for easier multiplication:
5glo * x + -1log(x) * 6 + 10 = 12

Multiply glo * x
5glox + -1log(x) * 6 + 10 = 12

Reorder the terms for easier multiplication:
5glox + -1 * 6glo * x + 10 = 12

Multiply -1 * 6
5glox + -6glo * x + 10 = 12

Multiply glo * x
5glox + -6glox + 10 = 12

Reorder the terms:
10 + 5glox + -6glox = 12

Combine like terms: 5glox + -6glox = -1glox
10 + -1glox = 12

Solving
10 + -1glox = 12

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -1glox = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -1glox = 12 + -10
-1glox = 12 + -10

Combine like terms: 12 + -10 = 2
-1glox = 2

Divide each side by '-1lox'.
g = -2l-1o-1x-1

Simplifying
g = -2l-1o-1x-1

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